Making x the subject of the equation we get that
\(x=a(3+x)\)
\(x=3a+ax\)
\(\frac{x}{x}=3a+\frac{ax}{x} \)
\(1=4a \)
\(\frac{1}{4}=a\)
Now we can solve for x
\(\frac{x}{3+x}=\frac{1}{4}\)
\(x=\frac{1}{4}(3+x)\)
\(x=\frac{3}{4}+\frac{x}{4}\)
\(4x=\frac{3}{4}+x\)
\(3x=\frac{3}{4}\)
\(x=\frac{1}{4}\)